Cauchy sequences

A form of Cauchy sequence — Any sequence x_n in a metric space with metric d such that for every ϵ>0 there exists a natural number N such that for all k,m>N, d(x_k,x_m)<ϵ.

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Meanings

noun
  1. pluralplural of Cauchy sequence
Cite this entry
APA

Cauchy sequences. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Cauchy%20sequences

MLA

“Cauchy sequences.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cauchy%20sequences. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cauchy sequences,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Cauchy%20sequences.

Source: Cauchy sequences on Wiktionary, CC BY-SA 4.0.